Mensuration

White washing / painting / canvas needed → use surface area

Storage / capacity / quantity inside → use volume

Cuboid: LSA=2h(l+b), TSA=2(lb+bh+hl), V=lbh

Cube: LSA=4a^2, TSA=6a^2, V=a^3

Right prism: LSA=Perimeter of base × height, TSA=Lateral surface area+2(area of the end surface), V=area of base × height

Regular circular Cylinder: CSA=2πrh, TSA=2πr(r+h), V=πr^2h

Right pyramid: LSA=1/2 (perimeter of base) × slant height, TSA=Lateral surface area+area of the base, V=1/3 area of the base × height

TSA of new solid = CSA of one hemisphere + CSA of cylinder + CSA of other hemisphere

TSA of the toy = CSA of hemisphere + CSA of cone

Surface area of combined solids = exposed surface only